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3 years ago

If you invest $823 at an interest rate of 3% how much money will you have after nine years

Mathematics

1 answer:

Natalija [7]3 years ago

5 0

Answer:

The total money received after 9 years is $1045 .21.

Step-by-step explanation:

The Principal amount invested = $823

Rate of interest = 3%

The time interval = 9 years

Now, SIMPLE INTEREST = $\frac{P \times R \times T}{100}$

So, here SI = $\frac{823 \times 3 \times 9}{100} = 222.21$

or, Simple Interest = $222.21

Now,as we know AMOUNT = PRINCIPAL + SIMPLE INTEREST

So, A = $823 + $222.21

= $1045 .21

Hence, the total money received after 9 years is $1045 .21.

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Rewrite the function by completing the square. f(x)= x^{2} -9 x +14f(x)=x 2 −9x+14

Bess [88]

Answer:

$f(x)=(x-4.5)^{2}-6.25$ or $f(x)=(1/4)(2x-9)^{2}-6.25$

Step-by-step explanation:

we have

$f(x)=x^{2}-9x+14$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$f(x)-14=x^{2}-9x$

Complete the square. Remember to balance the equation by adding the same constants to each side

$f(x)-14+4.5^{2}=x^{2}-9x+4.5^{2}$

$f(x)+6.25=x^{2}-9x+4.5^{2}$

Rewrite as perfect squares

$f(x)+6.25=(x-4.5)^{2}$

$f(x)=(x-4.5)^{2}-6.25$

$f(x)=(1/4)(2x-9)^{2}-6.25$

5 0

3 years ago

Factorise x squared + 4x + 3

olganol [36]

<h3>Answer: (x+1)(x+3)</h3>

===================================================

Explanation:

Let's assume it factors into (x+a)(x+b)

The goal is to find the two numbers a and b.

FOIL out (x+a)(x+b) to get x^2+(a+b)x+ab

Note how a+b is the middle term and ab is the last term.

In the original expression, 4 is the middle term and 3 is the last term.

So we need to find two numbers that

add to 4
multiply to 3

There are two ways to multiply to 3 and they are

1 times 3 = 3
-1 times -3 = -3

But only the first way has the factors add to 4. So that means a = 1 and b = 3.

Therefore (x+a)(x+b) = (x+1)(x+3)

And x^2+4x+3 = (x+1)(x+3)

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2 years ago

suppose for everyone cup of rice I add 2 3/4 cups of water. If I add 2 1/2 cups of rice, how much cups of water do I add?

Brrunno [24]

Answer:

6 7/8

Step-by-step explanation:

Since 1 cup of rice is added to 2 3/4 water

We are to determine the Amount of water to be to 2 1/2 cups of rice

Let the unknown number for water be x

So let's solve

1 cup of rice=11/4 water

5/2 cup of rice=x water

Cross multiply

x=5/2×11/4

x=55/8

X=6 7/8

Therefore,6 7/8 water is needed

8 0

2 years ago

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2 years ago

A pile of newspaper was 17 3/4 inches high. Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inc

Murljashka [212]

Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches

Step-by-step explanation:

Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 17 3/4= 71/4 inches

d = 103/12 inches

n = 3 weeks

the height in inches, of the pile after 3 weeks, T3. Therefore,

T3 = 71/4 + (3 - 1)103/12

T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6

T3 = 419/12 inches = 34 11/12 inches

7 0

2 years ago